Questions
For , the equation has
a
Infinitely many solutions
b
3 solutions
c
one solution
d
No solution
detailed solution
Correct option is D
sinx+2sin2x−sin3x=3 ⇒sinx−4sinxcosx−3sinx+4sin3x=3⇒−2−4cosx+4sin2x=3cosecx dividing throughout by sinx⇒2−4cos2x−4cosx=3cosecx⇒3−4cosx−122=3cosecxL.H.S <3 ; R.H.S ≥3, No solution.Talk to our academic expert!
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